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29495149002 = 23611315199
BaseRepresentation
bin11011011110000011…
…000100000111001010
32211010120022211000000
4123132003010013022
5440401224232002
621314435223430
72062626426024
oct333603040712
984116284000
1029495149002
1111566274000
125871a47b76
132a20901cb7
1415db38d014
15b7965361c
hex6de0c41ca

29495149002 has 112 divisors (see below), whose sum is σ = 72966931200. Its totient is φ = 8937335880.

The previous prime is 29495148953. The next prime is 29495149007. The reversal of 29495149002 is 20094159492.

29495149002 is a `hidden beast` number, since 2 + 9 + 49 + 514 + 90 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (29495149007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1932999 + ... + 1948197.

Almost surely, 229495149002 is an apocalyptic number.

29495149002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29495149002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36483465600).

29495149002 is an abundant number, since it is smaller than the sum of its proper divisors (43471782198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29495149002 is an equidigital number, since it uses as much as digits as its factorization.

29495149002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15252 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 29495149002 in words is "twenty-nine billion, four hundred ninety-five million, one hundred forty-nine thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 729 891 1089 1331 1458 1782 2178 2662 2673 3267 3993 5346 6534 7986 8019 9801 11979 15199 16038 19602 23958 29403 30398 35937 45597 58806 71874 88209 91194 107811 136791 167189 176418 215622 273582 323433 334378 410373 501567 646866 820746 970299 1003134 1231119 1504701 1839079 1940598 2462238 3009402 3678158 3693357 4514103 5517237 7386714 9028206 11034474 11080071 13542309 16551711 20229869 22160142 27084618 33103422 40459738 40626927 49655133 60689607 81253854 99310266 121379214 121880781 148965399 182068821 243761562 297930798 364137642 446896197 546206463 893792394 1092412926 1340688591 1638619389 2681377182 3277238778 4915858167 9831716334 14747574501 29495149002